Offred,
It's not sexist to say that someone (no idea who is male or female on here) is posting in a strident or unpleasant way.
You are certainly very keen to hear what I think about first date payment etiquette.
Personally I am ambivalent, people should do whatever suits them or what they themselves feel comfortable with.
This thread proves that some women are offended if the man pays, and some are offended if he doesn't.
Luckily, there are some men who want to pay in full, and some who don't think that they should for various reasons.
As they say, there's someone for everyone.
But I would not assume that a man offering to pay disrespects women, or that a woman accepting his offer is akin to a doll, a child or a prostitute setting herself up for a relationship of inequality.
I think if someone, anyone, offers to pay the full bill in a restaurant then that says nice things about them - they care about their date's opinion of them, they're being generous, they're hoping for a second date, they're a kind person.
Of course they could be pretending for their own nefarious purposes, but I would take it at face value initially.